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Finding the Third Proportional to 51,338 and 78,861

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Solution

The third proportional to 51,338 and 78,861 is: 121,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,338 : 78,861 = 78,861 : x
  2. Step 2: Convert to fraction form
    51,338/78,861 = 78,861/x
  3. Step 3: Cross multiply
    51,338x = 78,861 × 78,861
  4. Step 4: Simplify right side
    51,338x = 6,219,057,321
  5. Step 5: Solve for x
    x = 6,219,057,321/51,338
  6. Step 6: Final answer
    x = 121,139.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.